Add 40/18 and 28/21
1st number: 2 4/18, 2nd number: 1 7/21
40/18 + 28/21 is 32/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 21 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 18 × 7 = 126,
40/18 = 40 × 7/18 × 7 = 280/126 - Likewise, for the 2nd fraction, since 21 × 6 = 126,
28/21 = 28 × 6/21 × 6 = 168/126 - Add the two like fractions:
280/126 + 168/126 = 280 + 168/126 = 448/126 - 448/126 simplified gives 32/9
- So, 40/18 + 28/21 = 32/9
In mixed form: 35/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/18+28/21 40/18+56/21 40/36+28/21 40/18+28/42 40/18+84/21 40/54+28/21 40/18+28/63 40/90+28/21